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Use the sample data below to test the hypotheses
H0: | p1 = p2 = p3 |
Ha: | not all population proportions are equal |
where
pi
is the population proportion of Yes responses for population i.
Response | Populations | ||
---|---|---|---|
1 | 2 | 3 | |
Yes | 145 | 145 | 106 |
No | 95 | 145 | 114 |
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
Using a 0.05 level of significance, state your conclusion.
Do not reject H0. We conclude that not all population proportions are equal.Do not reject H0. We cannot conclude that not all population proportions are equal. Reject H0. We conclude that not all population proportions are equal.Reject H0. We cannot conclude that not all population proportions are equal.
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